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Finding the Fourth Proportional to 3,057.94, 4,586.90 and 866.67

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Solution

The fourth proportional to 3,057.94, 4,586.90 and 866.67 is: 1,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,057.94 : 4,586.90 = 866.67 : x
  2. Step 2: Convert to fraction form
    3,057.94/4,586.90 = 866.67/x
  3. Step 3: Cross multiply
    3,057.94x = 4,586.90 × 866.67
  4. Step 4: Simplify right side
    3,057.94x = 3,975,307.09
  5. Step 5: Solve for x
    x = 3,975,307.09/3,057.94
  6. Step 6: Final answer
    x = 1,300.00

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.